Dr. David Reeb

Personal Data Address: Institute for Theoretical Physics Leibniz Universitat¨ Hannover Appelstr. 2 30167 Hannover, Germany Place and date of birth: Ellwangen, Germany, 4th October 1981 Citizenship: German Ofﬁce phone: +49 (0)511 762 17508 Email: [email protected] Website: www.itp.uni-hannover.de/Gruppen/quinfo/dreeb/

Fields of Specialization

Quantum Information: information and communication theory, entanglement, quantum thermodynamics, dissipative state preparation, underlying mathematical structures Mathematical Physics: statistical physics, Markov chains and master equations, equilibration, matrix analysis and operator algebras Applied Mathematics: convex optimization, polynomial optimization hierarchies, algebraic geometry, including computational methods

Professional Experience

12/2014 – present Postdoctoral Researcher, Quantum Information group (Prof. R. Werner) Institute for Theoretical Physics, Leibniz Universitat¨ Hannover, Germany 12/2012 – 11/2014 Marie Curie Fellow, Intra-European Fellowship Department of Mathematics, Technische Universitat¨ Munchen,¨ Germany 05/2011 – 11/2012 Postdoctoral Researcher, Mathematical Physics group (Prof. M. Wolf) Department of Mathematics, Technische Universitat¨ Munchen,¨ Germany 07/2010 – 04/2011 Postdoctoral Researcher, Quantum Information group (Prof. M. Wolf) Niels Bohr Institute, University of Copenhagen, Denmark 09/2006 – 06/2010 PhD Student, Institute for Theoretical Science (Prof. Stephen Hsu) Department of Physics, University of Oregon, Eugene, USA

Education

PhD in Physics, University of Oregon (Eugene, USA), 09/2006–06/2010 Thesis title: “Gravitational Effects in Models of Grand Uniﬁcation”, defended in May 2010 Thesis advisor: Prof. Stephen D. H. Hsu

Master of Science in Physics, University of Oregon (Eugene, USA), 09/2005–06/2006 Topics in High Energy Physics, Grade Point Average: 4.10, overall grade: A (very good)

Studies of Mathematics and Physics, Universitat¨ Ulm (Germany), 09/2002–08/2005 Vordiplom (BSc.) in Physics (10/2004) and in Mathematics (12/2004) (grades: 1.0, very good)

CV 12/2016 — Dr. David Reeb — page 1/5 Grants and Awards

10/2016 “Research in Pairs” stay at Oberwolfach Research Institute (MFO) Project “Applications of Real Algebraic Geometry in Quantum Information Theory”, with Dr. Alexander Muller-Hermes¨ and Dr. Ion Nechita 02/2013 Walther-von-Dyck Prize Biennial award for an excellent young researcher, Department of Mathe- matics, TU Munchen;¨ funded project “Convergence behaviour of classical and quantum Markov processes”, budget for two years: 25,000 EUR 03/2012 Marie Curie Fellowship European grant awarded for my project “Quantum Information Theory with Liouvillians” (QUINTYL), implemented at TU Munchen¨ from 12/2012– 11/2014 (24 months); budget: 165,000 EUR 09/2008 Paul A. M. Dirac Diploma and New Talent Award Two awards for contributions during and presentation given at the Interna- tional School of Subnuclear Physics, Erice (Italy) 09/2006 Weiser Memorial Fund Prize Awarded by the Department of Physics, University of Oregon, for the best PhD qualifying exam each year 2005 – 2006 Fellowship “Baden-Wurttemberg¨ Stipendium” Covering tuition and living expenses during my student exchange year at the University of Oregon, Eugene (USA) 2002 – 2006 Fellowship “Studienstiftung des Deutschen Volkes” The Studienstiftung (“German National Merit Foundation”) serves as the main instrument to recognize and support the student elite in Germany 1992 – 2002 Numerous Awards at Mathematics Competitions First and second prizes at the Bundes- and Landeswettbewerb Mathematik (state and federal level, Germany); member of the German preparation team for the International Mathematical Olympiad (IMO) 2001

Selected List of Talks

12/2016 Fundamental energy cost for quantum measurement – invited talk at COST consortium workshop “Mathematical Foundations of Quantum Thermody- namics”, Smolenice, Czech Republic 09/2016 A Mrs. Gerber’s Lemma with quantum side information? – invited talk at workshop “Quantum Information Theory and Mathematical Physics”, Budapest, Hungary 07/2016 Fundamental energy cost for quantum measurement – invited talk at summer school “Stochastic Methods in Quantum Mechanics”, Autrans, France 01/2016 Semideﬁnite programming for completely positive extensions and quantum channels – invited talk at workshop “Linear Matrix Inequalities, Semidef- inite Programming and Quantum Information Theory”, Toulouse, France 11/2015 Positivity of linear maps under tensor powers – invited plenary talk at “Fourteenth International Conference on Mathematics and its Applica- tions” (ICMA 2015), Timisoara, Romania

CV 12/2016 — Dr. David Reeb — page 2/5 09/2015 Landauer’s Principle and finite-size effects in quantum thermodynamics – invited lecture (4 hours) at workshop “Quantum Thermodynamics and Quantum Information Theory”, Toulouse, France 02/2014 An improved Landauer Principle with finite-size corrections and applications to statistical physics – contributed talk at the leading conference in the field “Quantum Information Processing” (QIP 2014), Barcelona, Spain 10/2013 Convergence bounds for dissipative quantum time evolutions – invited talk at the workshop of the research school “Quantum Computing, Control and Communication (QCCC)”, Prien am Chiemsee, Germany 08/2013 An improved Landauer Principle with finite-size corrections – talk given during the research program “Mathematical Horizons for Quantum Physics” at the Institute for Mathematical Sciences, Singapore 06/2013 Cutoff phenomenon and spectral convergence bounds for quantum Markov chains – invited talk at workshop “Mathematical Aspects of Quantum Modelling, Estimation and Control”, Padova, Italy 05/2013 (Im-)Proving Landauer’s Principle – colloquium talk at the Institute for Quantum Computing (IQC), University of Waterloo, Canada 10/2011 Hilbert’s projective metric in Quantum Information Theory – invited tutorial at the workshop of the research school “Quantum Computing, Control and Communication (QCCC)”, Bernried, Germany 09/2011 Extending quantum operations – contributed talk at conference “Quantum Information Processing and Communication”, ETH Zurich, Switzerland 03/2009 On the sign problem in dense QCD – invited talk at workshop “Sign Prob- lems and Complex Actions”, ECT Trento, Italy

Teaching spring 2016 Lecture course “From Classical to Quantum Information Theory” URL: www.itp.uni-hannover.de/Gruppen/quinfo/dreeb/infotheory2016.html 4 hrs. per week including bi-weekly exercises, Leibniz Universitat¨ Han- nover. Responsible for selecting the material, lecturing, exercises, and exam. Teaching evaluations available. spring 2015 Exercises for “Computational Physics” Devising exercises, teaching exercise classes and computer tutorials, Leib- niz Universitat¨ Hannover. winter 2013/14 Lecture course “Mathematical Basis of Quantum Statistical Physics” URL: www-m5.ma.tum.de/Allgemeines/MA5109 2013W 3 hrs. per week including bi-weekly exercises, TU Munchen.¨ Course was eligible for the Munich master program “Theoretical and Mathematical Physics” (TMP). Responsible for selecting material, lecturing, exercises, exercise sessions, and oral examinations. Teaching evaluations available. 2011 – 2013 Supervisor in Master’s seminars (Hauptseminare) and Bachelor’s seminars (Proseminare) at TU Munchen¨ on “Advanced Matrix Analysis”, “Mathe- matics and Magic”, “Uncertainty Relations”. 2006 – 2008 Teaching assistant and lab instructor for various physics undergraduate courses, University of Oregon. Several course evaluations available. 2004 – 2005 Tutor and assistant (Linear Algebra, Real Analysis I & II), Department of Mathematics and Economics, University of Ulm.

CV 12/2016 — Dr. David Reeb — page 3/5 Student Supervision

Leibniz Universitat¨ supervising one PhD student on Quantum Thermodynamics (formal advi- Hannover sor: Prof. Werner), resulting in joint paper; advising of other PhD students; supervision of several Bachelor’s and Master’s projects

Technische Universitat¨ co-supervision of research projects of two PhD students jointly with Munchen¨ Prof. M. Wolf, resulting in three joint papers; supervision of a Master’s and a Bachelor’s student; hosting and supervising a DAAD summer research student

Niels Bohr Institute co-supervision of research projects of a PhD student jointly with Prof. Copenhagen M. Wolf, resulting in two papers; supervision of a summer research project

University of Oregon student advisor for the General Science Program, advising students on class options and future career paths (2008–2010)

Academic Service

2015 – 2016 Organizing and supervising weekly PhD and Master’s student seminar, which I initiated in fall 2015 in the Quantum Information group in Han- nover, featuring tutorial sessions and introductory-level research talks

2014 Organized group research visit on Quantum Thermodynamics of the Quantum Information group from LU Hannover at TU Munchen¨

2013 Organized the “Workshop on Coexistence and Joint Measurability”, 9–12 September 2013 at the Department of Mathematics, TU Munchen,¨ applied for and received substantial funding from DFG, URL: http://www-m5.ma.tum.de/Allgemeines/CoexistenceWorkshop2013 2011 – 2014 Administration of research grants, scientific and financial reporting: Marie Curie Fellowship grant QUINTYL, EU-STREP project QUEVADIS, EU-STREP project COQUIT, EU/BMBF project CQC 2011 – 2012 Coordination of the department website relaunch (www.ma.tum.de); departmental contact person for two projects carried out by a consulting firm over the course of three semesters 2010 – present Refereeing activity for scientific journals: New J. Phys., Commun. Math. Phys., J. Math. Phys., J. Phys. A: Mathem. Theor., Phys. Rev. A, IEEE Trans. Inf. Theor., Sci. Rep., Found. Phys., Entropy, Random Matrices: Theory Appl., Quant. Inf. Comp., and others Program committee member and reviewing for conferences: CEQIP 2014–16, QIP 2013–17, AQIS 2014–16, TQC 2016–17 2007 – 2009 Co-organized the yearly recruitment and visitation weekend for prospective PhD students, Department of Physics, University of Oregon 2007 – 2008 Co-organized Graduate Student Seminar Series for one academic year, Department of Physics, University of Oregon

CV 12/2016 — Dr. David Reeb — page 4/5 Computational Tools

MATLAB, Octave numerics, also with packages SeDuMi, CVX (semidefinite optimization), GloptiPoly (polynomial optimization Lasserre hierarchy) Mathematica research and teaching use, also for “Computational Physics” (spring 2015) Python, C/C++ numerics, semidefinite optimization, used in Bachelor’s and Master’s theses algebraic geometry Singular, Macaulay2, FGb (Grobner¨ basis computations) large-scale computing Scientific Computing Cluster at Rechenzentrum Hannover

Memberships

Deutsche Physikalische Gesellschaft DPG (German Physical Society) Deutsche Mathematiker-Vereinigung DMV (German Mathematical Society) Deutscher Hochschulverband DHV COST network MP1209 “Thermodynamics in the Quantum Regime”

Other activities 2000 – 2002 Choral conductor, Rechenberg (Germany) 1999 – 2001 Studies and Certiﬁcate in Church Music (“C-Ausbildung”) at the Hochschule fur¨ Kirchenmusik, Rottenburg am Neckar (Germany) 1997 – present Organist at various churches

References (1) Prof. Reinhard F. Werner — head of current research group, collaborator Institute for Theoretical Physics Quantum Information Group Leibniz Universitat¨ Hannover Appelstr. 2 30167 Hannover, Germany Email: [email protected]

(2) Prof. Michael M. Wolf — initial postdoctoral mentor, collaborator Department of Mathematics Chair for Mathematical Physics Technische Universitat¨ Munchen¨ Boltzmannstr. 3 85748 Garching b. Munchen,¨ Germany Email: [email protected]

(3) Prof. Stephen D. H. Hsu — PhD advisor, collaborator Department of Physics and Astronomy Michigan State University 567 Wilson Road, Room 3218 East Lansing, MI 48824, USA Email: [email protected]

CV 12/2016 — Dr. David Reeb — page 5/5 Publication List — Dr. David Reeb

The author lists of most of my papers are alphabetical as is standard in Mathematical Physics (most of my postdoctoral work) and Theoretical High Energy Physics (my PhD area).

[29] Fundamental energy cost for quantum measurement (with Kais Abdelkhalek and Yoshifumi Nakata) — preprint at arXiv:1609.06981 (2016).

[28] Monotonicity of the Quantum Relative Entropy Under Positive Maps (with Alexander Muller-¨ Hermes) — to appear in Ann. Henri Poincare´ (2017) (preprint at arXiv:1512.06117).

[27] Scalable dissipative preparation of many-body entanglement (with Florentin Reiter and Anders S. Sørensen) — Phys. Rev. Lett. 117, 040501 (2016).

[26] Measurement Uncertainty for Finite Quantum Observables (with Rene´ Schwonnek and Rein- hard F. Werner) — Mathematics 4, 38 (2016).

[25] Positivity of linear maps under tensor powers (with Alexander Muller-Hermes¨ and Michael M. Wolf) — J. Math. Phys. 57, 015202 (2016).

[24] Tight bound on relative entropy by entropy difference (with Michael M. Wolf) — IEEE Trans. Inf. Theory 61, 1458 (2015).

[23] Positive reduction from spectra (with Maria Anastasia Jivulescu, Nicolae Lupa and Ion Nechita) — Lin. Alg. Appl. 469, 276 (2015).

[22] Quantum Subdivision Capacities and Continuous-time Quantum Coding (with Alexander Muller-Hermes¨ and Michael M. Wolf) — IEEE Trans. Inf. Theory 61, 565 (2015).

[21] Spectral convergence bounds for classical and quantum Markov processes (with Oleg Szehr and Michael M. Wolf) — Commun. Math. Phys. 333, 565 (2015).

[20] An improved Landauer Principle with ﬁnite-size corrections (with Michael M. Wolf) — New J. Phys. 16, 103011 (2014).

[19] Fault-ignorant Quantum Search (with Peter Vrana, Daniel Reitzner and Michael M. Wolf) — New J. Phys. 16, 073033 (2014).

[18] Coexistence does not imply joint measurability (with Daniel Reitzner and Michael M. Wolf) — J. Phys. A: Math. Theor. 46, 462002 (2013).

[17] Entanglement witnessing in superconducting beamsplitters (with Henning Soller and Lukas Hof- stetter) — Europhys. Lett. 102, 50009 (2013).

[16] Extending quantum operations (with Teiko Heinosaari, Maria A. Jivulescu and Michael M. Wolf) — J. Math. Phys. 53, 102208 (2012).

[15] A cutoff phenomenon for quantum Markov chains (with Michael J. Kastoryano and Michael M. Wolf) — J. Phys. A: Math. Theor. 45, 075307 (2012).

[14] Hilbert’s projective metric in quantum information theory (with Michael J. Kastoryano and Michael M. Wolf) — J. Math. Phys. 52, 082201 (2011).

[13] Running of Newton’s Constant and Quantum Gravitational Effects — Proceedings of the Inter- national School of Subnuclear Physics, 46th course (Ed. A. Zichichi), World Scientiﬁc (2011).

Publications (12/2016) — Dr. David Reeb [12] Grand uniﬁcation through gravitational effects (with Xavier Calmet and Stephen D. H. Hsu) — Phys. Rev. D 81, 035007 (2010).

[11] On the sign problem in dense QCD (with Stephen D. H. Hsu) — Int. J. Mod. Phys. A 25, 53 (2010).

[10] Monsters, black holes and the statistical mechanics of gravity (with Stephen D. H. Hsu) — Mod. Phys. Lett. A 24, 1875 (2009).

[9] Black holes, information and decoherence (with Stephen D. H. Hsu) — Phys. Rev. D 79, 124037 (2009).

[8] Quantum Gravitational Effects and Grand Uniﬁcation (with Xavier Calmet and Stephen D. H. Hsu) — AIP Conf. Proc. 1078, 432 (2009).

[7] What is the entropy of the universe? (with Paul Frampton, Stephen D. H. Hsu and Tomas W. Kephart) — Class. Quant. Grav. 26, 145005 (2009).

[6] Dark radiation as a signature of dark energy (with Sourish Dutta, Stephen D. H. Hsu and Robert J. Scherrer) — Phys. Rev. D 79, 103504 (2009).

[5] Self-spin-controlled rotation of spatial states of a Dirac electron in a cylindrical potential via spin-orbit interaction (with Cody C. Leary and Michael G. Raymer) — New J. Phys. 10, 103022 (2008).

[4] Unitarity and the Hilbert space of quantum gravity (with Stephen D. H. Hsu) — Class. Quant. Grav. 25, 235007 (2008).

[3] Grand uniﬁcation and enhanced quantum gravitational effects (with Xavier Calmet and Stephen D. H. Hsu) — Phys. Rev. Lett. 101, 171802 (2008).

[2] Quantum gravity at a TeV and the renormalization of Newton’s constant (with Xavier Calmet and Stephen D. H. Hsu) — Phys. Rev. D 77, 125015 (2008).

[1] Black hole entropy, curved space and monsters (with Stephen D. H. Hsu) — Phys. Lett. B 658, 244 (2008). arXiv author page: arxiv.org/a/reeb d 1 Google Scholar proﬁle: scholar.google.com/citations?user=XrnNdI0AAAAJ

Publications (12/2016) — Dr. David Reeb